35424 has 48 divisors (see below), whose sum is σ = 105840. Its totient is φ = 11520.

The previous prime is 35423. The next prime is 35437. The reversal of 35424 is 42453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×35424³ = 133356458115072, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (480) is a multiple of the sum of its prime factors (60).

It is a nialpdrome in base 6 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 35397 and 35406.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35424.

It is not an unprimeable number, because it can be changed into a prime (35423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 844 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (2205).

2³⁵⁴²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52920).

35424 is an abundant number, since it is smaller than the sum of its proper divisors (70416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35424 is a wasteful number, since it uses less digits than its factorization.

35424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 46 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 35424 is about 188.2126456963. The cubic root of 35424 is about 32.8422220488.

Adding to 35424 its reverse (42453), we get a palindrome (77877).

It can be divided in two parts, 354 and 24, that added together give a triangular number (378 = T₂₇).

The spelling of 35424 in words is "thirty-five thousand, four hundred twenty-four".